Atkin-Lehner |
3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
71487p |
Isogeny class |
Conductor |
71487 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
861120 |
Modular degree for the optimal curve |
Δ |
-222001938792447489 = -1 · 36 · 1310 · 472 |
Discriminant |
Eigenvalues |
-1 3- 3 4 2 13+ -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,123169,15366264] |
[a1,a2,a3,a4,a6] |
Generators |
[5006:352551:1] |
Generators of the group modulo torsion |
j |
2056223/2209 |
j-invariant |
L |
6.2255107991611 |
L(r)(E,1)/r! |
Ω |
0.20869566843682 |
Real period |
R |
7.4576425621656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7943a1 71487h1 |
Quadratic twists by: -3 13 |